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Finding the Fourth Proportional to 5,692.98, 8,533.62 and 2,182.04

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Solution

The fourth proportional to 5,692.98, 8,533.62 and 2,182.04 is: 3,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.98 : 8,533.62 = 2,182.04 : x
  2. Step 2: Convert to fraction form
    5,692.98/8,533.62 = 2,182.04/x
  3. Step 3: Cross multiply
    5,692.98x = 8,533.62 × 2,182.04
  4. Step 4: Simplify right side
    5,692.98x = 18,620,657.52
  5. Step 5: Solve for x
    x = 18,620,657.52/5,692.98
  6. Step 6: Final answer
    x = 3,270.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.